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Sydney is told that the “value” of a word is determined by multiplying the letter-values of each letter in the word, and letter values are assigned such that A = 1, B = 2, C = 3, … , Y = 25, Z = 26. Example: the value of the word JULY = 63,000 because 10 x 21 x 12 x 25 = 63,000).
Using the same letter-values and process for determining a word’s value as above, Sydney sees that the 3-letter combination XYZ has a value of 24 × 25 × 26 = 15,600, even though XYZ isn’t really a word. How many different 3-letter combinations have a value of 60? Remember that in a combination, XYZ is the same as ZYX.